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Simplifying 4(-2 + -4K) = -7.8 + -15K (-2 * 4 + -4K * 4) = -7.8 + -15K (-8 + -16K) = -7.8 + -15K Solving -8 + -16K = -7.8 + -15K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '15K' to each side of the equation. -8 + -16K + 15K = -7.8 + -15K + 15K Combine like terms: -16K + 15K = -1K -8 + -1K = -7.8 + -15K + 15K Combine like terms: -15K + 15K = 0 -8 + -1K = -7.8 + 0 -8 + -1K = -7.8 Add '8' to each side of the equation. -8 + 8 + -1K = -7.8 + 8 Combine like terms: -8 + 8 = 0 0 + -1K = -7.8 + 8 -1K = -7.8 + 8 Combine like terms: -7.8 + 8 = 0.2 -1K = 0.2 Divide each side by '-1'. K = -0.2 Simplifying K = -0.2
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